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Finding the Third Proportional to 9,407,829 and 13,248,729

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Solution

The third proportional to 9,407,829 and 13,248,729 is: 18,657,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407,829 : 13,248,729 = 13,248,729 : x
  2. Step 2: Convert to fraction form
    9,407,829/13,248,729 = 13,248,729/x
  3. Step 3: Cross multiply
    9,407,829x = 13,248,729 × 13,248,729
  4. Step 4: Simplify right side
    9,407,829x = 175,528,820,115,441
  5. Step 5: Solve for x
    x = 175,528,820,115,441/9,407,829
  6. Step 6: Final answer
    x = 18,657,739.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.